Borchetta’s current asking price for the Nashville-based operation appears to have jumped from $200 million — a figure that first surfaced in The Post — to $350 million.

It seems Spiegel might not be the only one eyeing Big Machine.

Music blog Hits suggested Apple is also out with its shopping cart, in part to give a big liftoff to its new music-streaming service launching later this year.

Apple shot down this rumor in a flash, but our sources say Snapchat and Apple could be cooking up some kind of partnership to perhaps help Borchetta get his price.

For the music industry, Snapchat offers the prospect of priceless data on a desirable demo if youngsters choose to swipe and view their music videos.

Also on the Grammys front, eagle-eyed viewers would have spotted CBS CEO Leslie Moonves sitting with New England Patriots owner Robert Kraft during the broadcast. Kraft is a useful connection for a number of reasons: He’s on the board of Viacom, he’s an old friend of the Boston-based Sumner Redstone clan, and he’s also chairman of the NFL’s broadcast committee. CBS airs the Super Bowl next year — the game’s 50th anniversary.

Hair port

Warren-Tricomi, whose flagship salon is in the Plaza Hotel — with outposts on the Upper East Side; in Greenwich, Conn.; Miami; New Jersey; and the Hamptons — has just opened the WTGO salon at LaGuardia Airport, inside XpressSpa, a 1,044 square-foot space.

It’s all part of the big picture to upgrade the Delta terminal, through which 25 million people pass a year.

Ms. Subway

Don’t underestimate a kid sister. Subway co-founder Fred DeLuca, who’s been battling leukemia for nearly two years, has handed the reins of the world’s largest restaurant chain to his younger sister Suzanne Greco, 59, The Post reported exclusively last week.

Post writer Bob Fredericks worked at the 49-year-old chain as a teen in the early 1970s and remembers Subway in the early days.

Sal and Carmela DeLuca and their son Fred, then in his mid-20s, would meet Monday nights in the back of their Bridgeport, Conn., restaurant to strategize, Fredericks said.

“Suzanne [then in her mid-teens] would come to the family meeting and hang out in the front of the shop. They were a very typical Italian-American family,” Fredericks recalls.

New ’story

As Fashion Week gets underway here this week, the beauty industry is all in lather.

Michael Gordon, the British-born New Yorker who founded Bumble and Bumble, has a new firm, Hairstory.

Last week he told our Julie Earle-Levine he’ll be doing hair for models Marina Krtinic, and Frances Coombe and others.

Gordon invested $3 million to launch Hairstory, which he says is the antithesis of Bumble and Bumble.

He says most shampoos are just detergents that strip hair of color and health.

Hairstory is a no-detergent, no-suds line and has three products branded Purely